Abstract The paper deals with the buckling behaviour of stainless steel members with the main focus on developing design formulae for use in the latest version of the European Standard EN 1993-1-4: Eurocode 3–Design of steel structures–Part 1–4: General rules — Supplementary rules for stainless steel. Brussels; 2005. It is based on numerical simulations of single span members of various section type, which are subjected to axial compression and bending. Both flexural buckling and lateral–torsional buckling are dealt with so that the buckling behaviour of both I-sections and hollow sections can be covered. On the basis of these numerical results interaction factors have been derived in context with the design model for member design in Eurocode 3-1-1. For statistical evaluation the test results available from other authors have been used. The outcome of this investigation has been incorporated in the present EN 1993-1-4 as a recommendation in restricted form.